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[null,"1.","Record Nr.",null,"UNINA9910254309203321"]
[null,null,"Autore",null,"Soize Christian"]
[null,null,"Titolo",null,"Uncertainty Quantification : An Accelerated Course with Advanced Applications in Computational Engineering / / by Christian Soize"]
[null,null,"Pubbl/distr/stampa",null,"Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017"]
[null,null,"ISBN",null,"3-319-54339-3"]
[null,null,"Edizione",null,"[1st ed. 2017.]"]
[null,null,"Descrizione fisica",null,"1 online resource (XXII, 329 p. 110 illus., 86 illus. in color.)"]
[null,null,"Collana",null,"Interdisciplinary Applied Mathematics, , 0939-6047 ; ; 47"]
[null,null,"Disciplina",null,"519.2"]
[null,null,"Soggetti",null,"Computer science - Mathematics"]
[{"$nulls":4},"Applied mathematics"]
[{"$nulls":4},"Engineering mathematics"]
[{"$nulls":4},"Probabilities"]
[{"$nulls":4},"Computational Science and Engineering"]
[{"$nulls":4},"Mathematical and Computational Engineering"]
[{"$nulls":4},"Probability Theory and Stochastic Processes"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Fundamental Notions in Stochastic Modeling of Uncertainties and their Propagation in Computational Models -- Elements of Probability Theory -- Markov Process and Stochastic Differential Equation -- MCMC Methods for Generating Realizations and for Estimating the Mathematical Expectation of Nonlinear Mappings of Random Vectors -- Fundamental Probabilistic Tools for Stochastic Modeling of Uncertainties -- Brief Overview of Stochastic Solvers for the Propagation of Uncertainties -- Fundamental Tools for Statistical Inverse Problems -- Uncertainty Quantification in Computational Structural Dynamics and Vibroacoustics -- Robust Analysis with Respect to the Uncertainties for Analysis, Updating, Optimization, and Design -- Random Fields and Uncertainty Quantification in Solid Mechanics of Continuum Media."]
[null,null,null,"Sommario/riassunto","This book presents the fundamental notions and advanced mathematical tools in the stochastic modeling of uncertainties and their quantification for large-scale computational models in sciences and engineering. In particular, it focuses in parametric uncertainties, and non-parametric uncertainties with applications from the structural dynamics and vibroacoustics of complex mechanical systems, from "]
[{"$nulls":4},"micromechanics and multiscale mechanics of heterogeneous materials. Resulting from a course developed by the author, the book begins with a description of the fundamental mathematical tools of probability and statistics that are directly useful for uncertainty quantification. It proceeds with a well carried out description of some basic and advanced methods for constructing stochastic models of uncertainties, paying particular attention to the problem of calibrating and identifying a stochastic model of uncertainty when experimental data is available. < This book is intended to be a graduate-level textbook for students as well as professionals interested in the theory, computation, and applications of risk and prediction in science and engineering fields."]